This is just a question about notation, but it got no useful answers on math.stackexchange.
Let $L$ be the Lie algebra of $n\times n$ Hermitian matrices, with Lie bracket $(A,B)\mapsto i(AB-BA)$.
In a context where $A$ and $B$ are understood to be elements of $L$, I'd like to write $[A,B]$ for the commutator of $A$ and $B$, but I'd also like to write $[A,B]$ for the Lie bracket of $A$ and $B$. Obviously, because the commutator and the Lie bracket are not equal, I can't do both.
Is there a well-established standard about what the symbol $[A,B]$ means in this context?
(Note: Dirac, in his papers on quantum mechanics, uses $[A,B]$ to mean the Lie bracket, not the commutator. But I don't want to assume that the notation used by physicists in the 1930s is standard among mathematicians in the 21st century.)